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6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

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Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will be able to solve division problems with more than one variable. Learn how many equations are needed to solve your problem depending on the number of variables you have.

In this video lesson, you will learn how to solve division problems with two or more variables. These are math problems that include the division operator and that have more than one unknown value. Why should you learn about these types of problems? Knowing how to solve these types of problems is a useful skill because you will see these problems not only in your math classes but also in real life. As you take your math tests and such, you might come across a problem such as this:

*x*/*y*= 2*y*/ 2 = 4

Do you notice something interesting about the equations? Yes, there are two equations. Why do you think there are two equations? There are two equations because there are two variables. Remember this: you need one equation per variable. So, if your problem involves three variables, then you need three equations.

There are various methods to solving problems that involve more than one equation. You can find these methods discussed in other lessons. Looking at your two equations, you see that you can solve the second equation for *y*, and then use the substitution method to solve the problem.

Solving the second equation for *y* gives you this:

*y*/ 2 = 4- (
*y*/ 2) * 2 = 4 * 2*y*= 8

- (

Now, Plugging this information into the first equation, you can solve for *x*:

*x*/*y*= 2*x*/ 8 = 2- (
*x*/ 8) * 8 = 2 * 8*x*= 16

- (

And you are done. You have solved for both variables. Your complete answer is *x* = 16 and *y* = 8.

Let's look at another problem. Solve:

- 27 /
*x*= 9 *y*/*x*= 3

Looking at these two equations, you see that you can solve the first equation for *x* and then substitute that answer into the second to solve for *y*. Solving the first equation for *x*, you get this:

- (27 /
*x*) **x*= 9 **x*- 27 = 9
*x*- 27 / 9 = 9
*x*/ 9- 3 =
*x*

- 3 =

- 27 / 9 = 9

- 27 = 9

Plugging this information into the second equation gives you this:

*y*/*x*= 3*y*/ 3 = 3- (
*y*/ 3) * 3 = 3 * 3*y*= 9

- (

And you are done. Your complete answer is *x* = 3 and *y* = 9.

Now, let's review what you've learned. Division problems with two or more variables are math problems that include the division operator and that have more than one unknown value. To solve these problems requires you to have one equation for each variable. You then use the most appropriate solution method to solve your equations to find your unknown values, your variables.

Find out how competently you can solve division problems with two or more variables after studying this video lesson's content.

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Lesson
7 in chapter 25 of the course:

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6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

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